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Finding the Fourth Proportional to 51,659.96, 71,272.41 and 33,765.30

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Solution

The fourth proportional to 51,659.96, 71,272.41 and 33,765.30 is: 46,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,659.96 : 71,272.41 = 33,765.30 : x
  2. Step 2: Convert to fraction form
    51,659.96/71,272.41 = 33,765.30/x
  3. Step 3: Cross multiply
    51,659.96x = 71,272.41 × 33,765.30
  4. Step 4: Simplify right side
    51,659.96x = 2,406,533,949.01
  5. Step 5: Solve for x
    x = 2,406,533,949.01/51,659.96
  6. Step 6: Final answer
    x = 46,584.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.